If you calculate 1 log2 (10!) 1 1 1 + +. log, (10!) + log 10 (10!) with a .. log, (10!) log, (10!) calculator, you might get a surprisingly simple value! Explain how you can use the logarithm properties to get this answer without a calculator. Recall that 10! = 2·3·4· 5· 6·7·8 · 9 · 10.

If you calculate 1 log2 (10!) 1 1 1 + +. log, (10!) + log 10 (10!) with a .. log, (10!) log, (10!) calculator, you might get a surprisingly simple value! Explain how you can use the logarithm properties to get this answer without a calculator. Recall that 10! = 2·3·4· 5· 6·7·8 · 9 · 10.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.6: Exponential And Logarithmic Equations

Problem 9E

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Question

If you calculate
1
1
1
+
1
+
1
+
log3 (10!)
+
log4 (10!)
with a
..
log2 (10!)
log, (10!)
log10 (10!)
calculator, you might get a surprisingly simple value! Explain how you can use the
logarithm properties to get this answer without a calculator.
Recall that 10! = 2·3·4·5 ·6 · 7 · 8 · 9· 10.

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